Paper Info
Title
A Mortar Mixed Finite Volume Method for Elliptic Problems on Non-matching Multi-block Triangular Grids.
Abstract
A mixed finite volume method is considered for the mixed formulation of second-order elliptic equations. The computational domain can be decomposed into non-overlapping sub-domains or blocks and the diffusion tensors may be discontinuous across the sub-domain boundaries. We define a conforming triangular partition on each sub-domain independently, and employ the standard mixed finite volume method within each sub-domain. A mortar finite element space is introduced to approximate the trace of the pressure on the non-matching interfaces. Moreover, a continuity condition of flux is imposed weakly. We prove the scheme’s first order optimal rate of convergence for both the pressure and the velocity. Numerical experiments are provided to illustrate the error behavior of the scheme and confirm our theoretical results.
Year
DOI
Venue
2017
10.1007/s10915-017-0405-z
J. Sci. Comput.
Keywords
Field
DocType
Mixed finite volume method, Error estimate, Multi-block domain, Non-matching grids, Mortar finite element space, 65N08, 65N12, 65N15
Discontinuous Galerkin method,Mathematical optimization,Regular grid,Mathematical analysis,Extended finite element method,Finite element method,Rate of convergence,Finite volume method,Finite volume method for one-dimensional steady state diffusion,Mathematics,Mixed finite element method
Journal
Volume
Issue
ISSN
73
1
1573-7691
Citations 
PageRank 
References 
0
0.34
15
Authors
2
Name
Order
Citations
PageRank
Yanni Gao100.34
Yonghai Li200.68